Question types

Electromagnetic Induction question types

317 questions across 8 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

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Sample Questions

Electromagnetic Induction questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A conducting square loop of side l and resistance R moves in its plane with a uniform velocity u perpendicular to one of its sides. A uniform and constant magnetic field B exists along the perpendicular to the plane of the loop as shown in figure. The current induced in the loop is:
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A coil of area $80\ cm^2$ and number of turns $50$ is rotating about an axis perpendicular to a magnetic field of $0.05$ Tesla at $2000$ rotations per minute. The maximum value of emf induced in it will be.
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The current I in an induction coil varies with time t according to the graph shown in the figure. Which of the following graphs shows the induced emf (ε)in the coil with time.
Image
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b ), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and Rare true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion (A): Inductance coil are made of copper.
Reason (R): Induced current is more in wire having less resistance.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b ), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and Rare true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion (A): When number of turns in a coil doubled, coefficient of self inductance of the coil becomes four times.
Reason (R): Coefficient of self inductance is proportional to the square of number of turns.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b ), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and Rare true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion (A): An artificial satellite with a metal surface is moving above the earth in a circular orbit. A current will be induced in satellite if the plane of the orbit is inclined to the plane of the equator.
Reason (R): The current will be induced only when the speed of satellite is more than 8km/ sec.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b ), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and Rare true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion (A): An induced current is developed when the number of magnetic lines of force associated with conductor is changed.
Reason (R): An induced current develop in a conductor moved in a direction parallel to the magnetic field.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b ), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and Rare true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion (A): Changing magnetic flux can produce induced e.m.f.
Reason (R): Faraday established induced e.m.f. experimentally.
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A long straight current carrying wire passes normally through the centre of circular loop. If the current through the wire increases, will there be an induced emf in the loop? Justify.
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A wheel with 10 metallic spokes each $0.5 m$ long is rotated with a speed of $120 rev / min$ in a plane normal to the horizontal component of earth's magnetic field $H_E$ at a place. If $H_E=0.4 G$ at the place, what is the induced emf between the axle and the rim of the wheel? Note that $1 G =10^{-4} T$.
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Kamla peddles a stationary bicycle. The pedals of the bicycle are attached to a 100 turn coil of area $0.10 m ^2$. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of $0.01 T$ perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?
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A conducting loop is held below a current carrying wire PQ as shown. Predict the direction of the induced current in the loop when the current in the wire is constantly increasing.
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Current in a circuit falls from $5.0A$ to $0.0A$ in $0.1s.$ If an average emf of $200V$ induced, give an estimate of the self$-$inductance of the circuit.
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Use Lenz’s law to determine the direction of induced current in the situations described by Fig.
  1. $A$ wire of irregular shape turning into a circular shape;
  1. $A$ circular loop being deformed into a narrow straight wire.
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A $1.0m$ long metallic rod is rotated with an angular frequency of $400\ rad s^{–1}$ about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of $0.5T$ parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.
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Consider Experiment 6.2. (a) What would you do to obtain a large deflection of the galvanometer? (b) How would you demonstrate the presence of an induced current in the absence of a galvanometer?
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State the underlying principle of a transformer.How is the large scale transmission of electric energy over long distances done with the use of transformers?
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Q 213 Marks Question3 Marks
A rectangular wire loop of sides $8\ cm$ and $2\ cm$ with a small cut is moving out of a region of uniform magnetic field of magnitude $0.3T$ directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is $1 \ cms^{–1}$ in a direction normal to the:
  1. Longer side,
  2. shorter side of the loop?
For how long does the induced voltage last in each case?
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Q 223 Marks Question3 Marks
A line charge $\lambda$ per unit length is lodged uniformly onto the rim of a wheel of mass $M$ and radius $R.$ The wheel has light non-conducting spokes and is free to rotate without friction about its axis $($Fig.$). A$ uniform magnetic field extends over a circular region within the rim. It is given by,
$B = – B_0k (r \leq a; a < R)$
$= 0 ($otherwise$)$
What is the angular velocity of the wheel after the field is suddenly switched off?
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Q 233 Marks Question3 Marks
An air $-$ cored solenoid with length $30\ cm,$ area of cross $-$ section $25\ cm^2$ and number of turns $500,$ carries a current of $2.5A$. The current is suddenly switched off in a brief time of $10^{–3}s$. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.
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Q 243 Marks Question3 Marks
A circular coil of radius $8.0\ cm$ and $20$ turns is rotated about its vertical diameter with an angular speed of $50$ rad $s^{–1}$ in a uniform horizontal magnetic field of magnitude $3.0 \times 10^{–2}T$. Obtain the maximum and average emf induced in the coil. If the coil forms a closed loop of resistance $10\Omega ,$ calculate the maximum value of current in the coil. Calculate the average power loss due to Joule heating. Where does this power come from?
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Q 253 Marks Question3 Marks
A jet plane is travelling towards west at a speed of $1800\ km/h.$ What is the voltage difference developed between the ends of the wing having a span of $25m,$ if the Earth’s magnetic field at the location has a magnitude of $5 \times 10^{–4}T$ and the dip angle is $30^\circ .$
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Sunita and her friends visited an exhibition. The policeman asked them to pass through a metal detector. Sunita’s friends were initially scared of it. Sunita, however, explained to them the purpose and working of the metal detector.
Answer the following questions:
  1. On what principle does a metal detector work?
  2. Why does the detector emit sound when a person carrying any metallic object walks through it?
  3. State any two qualities which Sunita displayed while explaining the purpose of walking through the detector.
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A conducting loop is held above a current carrying wire ‘PQ’ as shown in the figure. Depict the direction of the current induced in the loop when the current in the wire PQ is constantly increasing.
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Ram is a  student of class X in a village school. His uncle gifted him a bicycle with a dynamo fitted in it. He was very excited to get it. While cycling during night, he could light the bulb and see the objects on the road. He however, did not know this device works. He asked this question to his teacher. the teacher considered it an opportunity to explain the working to the whole class.
Answer the following question:
  1. State the principle and working of a dynamo.
  2. Write two values each displayed by Ram and his school teacher.
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Lenz's law states that the direction of induced current in a circuit is such that it opposes the change which produces it. Tims, if the magnetic flux linked with a closed circuit increases, the induced current flows in such a direction that a magnetic flux is created in the opposite direction of the original magnetic flux. If the magnetic flux linked with the closed circuit decreases, the induced current flows in such a direction so as to create a magnetic flux in the direction of the original flux.
  1. Which of the following statements is correct?
  1. Near a circular loop of conducting wire as shown in the figure, an electron moves along a straight line. The direction of the induced current if any in the loop is:
  2. Charge.
  3. Mass.
  4. Momentum.
  5. Energy.
  6. Lenz's law is a consequence of the law of conservation of:
  7. Ampere's circuital law.
  8. Biot$-$Savart law.
  9. Lenz's law.
  10. Fleming's right hand rule.
  11. The polarity of induced emf is given by:
  12. The induced e.m.f is not in the direction opposing the change in magnetic flux so as to oppose the cause which produces it.
  13. The relative motion between the coil and magnet produces change in magnetic flux.
  14. Emf is induced only if the magnet is moved towards coil.
  15. Emf is induced only if the coil is moved towards magnet.
  1. Variable.
  2. Clockwise.
  3. Anticlockwise.
  4. Zero.
  5. Two identical circular coils $A$ and Bare kept in a horizontal tube side by side without touching each other. If the current in the coil $A$ increases with time, in response, the coil $B:$
  6. Is attracted by $A$.
  7. Remains stationary.
  8. Is repelled.
  9. Rotates.
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  1. Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig.
  2. Now assume that the straight wire carries a current of $50A$ and the loop is moved to the right with a constant velocity $, v = 10\ m/s.$ Calculate the induced emf in the loop at the instant when $x = 0.2\ m$. Take $a = 0.1\ m$ and assume that the loop has a large resistance.
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Figure shows a metal rod $PQ$ resting on the smooth rails $AB$ and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. $A$ galvanometer $G$ connects the rails through a switch $K$. Length of the rod $= 15\ cm, B = 0.50T,$ resistance of the closed loop containing the rod $= 9.0m\Omega$ . Assume the field to be uniform.
  1. Suppose $K$ is open and the rod is moved with a speed of $12\ cms^{-1}$in the direction shown. Give the polarity and magnitude of the induced emf.
  1. Is there an excess charge built up at the ends of the rods when $K$ is open? What if $K$ is closed?
  2. With $K$ open and the rod moving uniformly, there is no net force on the electrons in the rod $PQ$ even though they do experience magnetic force due to the motion of the rod. Explain.
  3. What is the retarding force on the rod when $K$ is closed?
  4. How much power is required $($by an external agent$)$ to keep the rod moving at the same speed $(= 12\ cm/s^{–1})$ when $K$ is closed? How much power is required when $K$ is open?
  5. How much power is dissipated as heat in the closed circuit? What is the source of this power?
  6. What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?
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Suppose the loop in Exercise $6.4$ is stationary but the current feeding the electromagnet that produces the magnetic field is gradually reduced so that the field decreases from its initial value of $0.3T$ at the rate of $0.02T s^{–1}$. If the cut is joined and the loop has a resistance of $1.6\Omega ,$ how much power is dissipated by the loop as heat? What is the source of this power?
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It is desired to measure the magnitude of field between the poles of a powerful loud speaker magnet. $A$ small flat search coil of area $2\ cm^2$ with $25$ closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region. Equivalently, one can give it a quick $90^\circ$ turn to bring its plane parallel to the field direction. The total charge flown in the coil $($measured by a ballistic galvanometer connected to coil$)$ is $7.5mC$. The combined resistance of the coil and the galvanometer is $0.50\Omega$ . Estimate the field strength of magnet.
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